Top editors at The Washington Post and Politico tried on Wednesday to mend a rift between the two news organizations.

Politico’s editor in chief, John Harris, and the Post’s editorial page editor Fred Hiatt spoke about columns by Erik Wemple, a media critic for The Post, that have been heavily critical of Mike Allen, a star reporter at Politico and author of the popular Playbook newsletter. Mr. Wemple has accused Mr. Allen of questionable journalistic practices, including using Playbook to provide favorable coverage to the companies that advertise in his newsletter.